Primary Curriculum 2014
Suggested Key Objectives
for Mathematics
at Key Stages 1 and 2
www.primarycurriculum.me.uk
Year 1 Maths Key Objectives
Taken from the National Curriculum
1
Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
2
Count, read and write numbers to 100 in numerals
3
Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=)
signs
4
Given a number, identify one more and one less
5
Represent and use number bonds and related subtraction facts within 20
6
Add and subtract one-digit and two-digit numbers to 20, including zero
7
Recognise, find and name a half as one of two equal parts of an object, shape or quantity
8
Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
9
Measure and begin to record length/height, weight/mass, capacity/volume & time
10
Recognise and know the value of different denominations of coins and notes
11
Sequence events in chronological order using language
12
Recognise and use language relating to dates, including days of the week, weeks, months and years
13
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times
14
Recognise and name common 2-D shapes (e.g. Square, circle, triangle)
15
Recognise and name common 3-D shapes (e.g. Cubes, cuboids, pyramids & spheres)
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 1 Maths Key Objectives
Summarised form
1
Count to and across 100 from any number
2
Count, read and write numbers to 100 in numerals
3
Read and write mathematical symbols: +, - and =
4
Identify "one more" and "one less"
5
Use number bonds and subtraction facts within 20
6
Add and subtract 1-digit and 2-digit numbers to 20, including zero
7
Recognise, find and name a half
8
Recognise, find and name a quarter
9
Measure and begin to record length, mass, volume and time
10
Recognise and know the value of all coins and notes
11
Use language to sequence events in chronological order
12
Recognise and use language relating to dates
13
Tell the time to the half-hour, including drawing clocks
14
Recognise and name common 2-D shapes
15
Recognise and name common 3-D shapes
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 2 Maths Key Objectives
Taken from the National Curriculum
1
Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
2
Recognise the place value of each digit in a two-digit number
3
Compare and order numbers from 0 up to 100; use <, > and = signs
4
5
6
7
8
9
Use place value and number facts to solve problems; recall and use addition and subtraction facts to 20
fluently, and derive and use related facts up to 100
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
TU+U, TU+T, TU+TU and U+U+U
Recognise and use the inverse relationship between addition and subtraction and use this to check
calculations and solve missing number problems.
Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including
recognising odd and even numbers
Calculate mathematical statements for multiplication and division within the multiplication tables and
write them using the multiplication (×), division (÷) and equals (=) signs
Recognise, find, name and write fractions 1/3, 1/4 , 2/4 and 3/4 of a length, shape, set of objects or
quantity
10
Write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2.
11
Recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value
13
Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock
face to show these times
Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a
vertical line.
14
Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
15
Interpret and construct simple pictograms, tally charts, block diagrams and simple tables
12
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 2 Maths Key Objectives
Summarised form
1
Count in steps of 2s, 3s and 5s, and steps of 10
2
Recognise place value in two-digit numbers
3
Compare and order numbers up to 100 using <, > and =
4
Recall and use number addition/subtraction facts to 20, and derive related facts
5
Add and subtract mentally and with objects one- and two-digit numbers
6
Understand and use the inverse relationship between addition and subtraction
7
Know 2×, 5× and 10× tables, including recognising odd & even numbers
8
Calculate mathematical statements using x and ÷ symbols
9
Recognise, find, name and write 1/3, 1/4, 1/2 and 3/4 of size, shape or quantity
10
Write simple fraction facts, e.g. 1/2 of 6 = 3
11
Combine amounts of money to make a value, including using £ and p symbols
12
Tell the time to the nearest 5 minutes, including drawing clocks
13
Describe properties of 2-D shapes, including number of sides and symmetry
14
Describe properties of 3-D shapes, including number of edges, vertices and faces
15
Interpret and construct simple tables, tally charts and pictograms
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 3 Maths Key Objectives
Taken from the National Curriculum
1
Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number.
2
Compare and order numbers up to 1000
3
Add and subtract numbers mentally, including: HTU+U, HTU+T and HTU+H
4
Add and subtract numbers with up to three digits, using formal written methods of columnar addition
and subtraction
5
Estimate the answer to a calculation and use inverse operations to check answers
6
Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
7
Count up and down in tenths;
8
Recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers
or quantities by 10
9
Compare and order unit fractions, and fractions with the same denominators
10
Recognise and show, using diagrams, equivalent fractions with small denominators
11
Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with
small denominators
12
Add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ]
13
Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
14
Measure the perimeter of simple 2-D shapes
15
Add and subtract amounts of money to give change, using both £ and p in practical contexts
16
Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12hour and 24-hour clocks
17
Estimate and read time with increasing accuracy to the nearest minute
18
Identify horizontal and vertical lines and pairs of perpendicular and parallel lines
19
Identify whether angles are greater or less than a right angle
20
Interpret and present data using bar charts, pictograms and tables
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 3 Maths Key Objectives
Summarised form
1
Count in multiples of 4, 8, 50 and 100
2
Compare and order numbers up to 1000
3
Add and subtract numbers mentally, including round numbers to HTU
4
Add and subtract using standard column method
5
Estimate answers to calculations and use the inverse to check answers
6
Know 3×, 4× and 8× tables
7
Count up and down in tenths
8
Understand that tenths are objectives or quantities divided into ten equal parts
9
Compare and order simple fractions
10
Recognise and show equivalent fractions
11
Find and write fractions of a set of objects
12
Add and subtract fractions with common denominators (less than one)
13
Measure, compare and calculate measures using standard units
14
Measure the perimeter of simple 2-D shapes
15
Add and subtract money, including giving change
16
Tell and write the time from an analogue clock, including using Roman numerals
17
Estimate and read time to the nearest minute
18
Identify horizontal, vertical, parallel and perpendicular lines
19
Identify whether angles are greater or less than a right angle
20
Interpret and present data using bar charts, pictograms and tables
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 4 Maths Key Objectives
Taken from the National Curriculum
1
Count backwards through zero to include negative numbers
2
Recognise the place value of each digit in a four-digit number
3
Round any number to the nearest 10, 100 or 1000
4
Recall multiplication and division facts for multiplication tables up to 12 × 12
5
Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and
1; dividing by 1; multiplying together three numbers
6
Recognise and use factor pairs and commutativity in mental calculations
7
Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
8
Recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
9
Recognise and write decimal equivalents to ¼, ½ and ¾
10
Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in
the answer as ones, tenths and hundredths
11
Round decimals with one decimal place to the nearest whole number
12
Compare numbers with the same number of decimal places up to two decimal places
13
Convert between different units of measure; estimate, compare and calculate different measures,
including money in pounds and pence
14
Find the area of rectilinear shapes by counting squares
16
Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks
to days
Compare and classify geometric shapes, including quadrilaterals and triangles, based on properties and
sizes
17
Complete a simple symmetric figure with respect to a specific line of symmetry.
18
Describe positions on a 2-D grid as coordinates in the first quadrant
19
Describe movements between positions as translations of a given unit to the left/right and up/down
20
Interpret and present discrete and continuous data using appropriate graphical methods, including bar
charts and time graphs
15
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 4 Maths Key Objectives
Summarised form
1
Count backwards through zero, including negative numbers
2
Recognise place value in four-digit numbers
3
Round any number to the nearest 10, 100 or 1000
4
Know tables up to 12 × 12
5
Use place value and number facts to carry out mental calculations
6
Use factor pairs and commutativity in mental calculations
7
Use short multiplication method
8
Recognise and use hundredths
9
Recognise and write decimal equivalents to ¼, ½ and ¾
10
Divide one- or two-digit numbers by 10 and 100, using tenths and hundredths
11
Round decimals with one decimal place to the nearest whole number
12
Compare numbers up to two decimal places
13
Convert between different units of metric measurement, including money
14
Find the area of rectilinear shapes by counting squares
15
Solve problems converting units of time
16
Compare and classify shapes, including quadrilaterals and triangles
17
Complete a simple symmetric figure with respect to a specific line of symmetry.
18
Describe positions on a 2-D grid using co-ordinates
19
Describe translations using a given unit to the left/right and up/down
20
Interpret and present discrete and continuous data on appropriate graphs
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 5 Maths Key Objectives
Taken from the National Curriculum
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Interpret negative numbers in context, count forwards and backwards with positive and negative whole
numbers, including through zero
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
Use rounding to check answers to calculations and determine, in the context of a problem, levels of
accuracy
Identify multiples and factors, including finding all factor pairs of a number, and common factors of two
numbers
Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
Establish whether a number up to 100 is prime and recall prime numbers up to 19
Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including
long multiplication for two-digit numbers
Divide numbers up to 4 digits by a one-digit number using the formal written method of short division
and interpret remainders appropriately for the context
Recognise mixed numbers and improper fractions and convert from one form to the other and write
mathematical statements > 1 as a mixed number
Compare and order fractions whose denominators are all multiples of the same number
Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths
and hundredths
Add and subtract fractions with the same denominator and denominators that are multiples of the same
number
Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Read and write decimal numbers as fractions
Round decimals with two decimal places to the nearest whole number and to one decimal place
Read, write, order and compare numbers with up to three decimal places
Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per
hundred’, and write percentages as a fraction with denominator 100, and as a decimal
Understand and use approximate equivalences between metric units and common imperial units such as
inches, pounds and pints
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
Calculate and compare the area of rectangles (including squares), and including using standard units,
square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes
Use the properties of rectangles to deduce related facts and find missing lengths and angles
Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
Draw given angles, and measure them in degrees (°)
Identify angles at a point and one whole turn (total 360°); at a point on a straight line and ½ a turn (total
180°)
Identify, describe and represent the position of a shape following a reflection or translation, using the
appropriate language, and know that the shape has not changed
Complete, read and interpret information in tables, including timetables
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 5 Maths Key Objectives
Summarised form
1
Interpret negative numbers in context
2
Read Roman numerals to 1000, including years
3
Recognise and use square and cube numbers, and know the notation
4
Use rounding to check answers and determine accuracy
5
Identify multiples and factors, including finding factor pairs and common factors
6
Use vocabulary: prime numbers, prime factors and composite numbers
7
Know prime numbers up to 19
8
Multiply and divide numbers by 10, 100 or 1000, including decimals
9
Use long multiplication for multiplying numbers of up to 4 digits by one or two digits
10
Divide numbers using standard written short division
11
Convert between mixed numbers and improper fractions
12
Compare and order fractions whose denominators are multiples of the same number
13
Identify, name and write equivalent fractions including tenths and hundredths
14
Add and subtract fractions with denominators that are multiples of the same number
15
Multiply proper fractions and mixed numbers by whole numbers with support
16
Read and write decimal numbers as fractions
17
Round decimals with 2 decimals places to whole number or to one decimal place
18
Read, write, order and compare numbers with up to 3 decimal places
19
Recognise % symbol and explain as a fraction with denominator 100 (parts out of 100)
20
Understand and use common approximate conversions between metric and imperial
21
Measure and calculate the perimeter of composite rectilinear shapes
22
Calculate the area of rectangles, and estimate the area of irregular shapes
23
Use the properties of rectangles to find missing lengths and angles
24
Distinguish between regular and irregular polygons
25
Identify 3-d shapes from 2-d representations
26
Know angles are measured in degrees and compare acute, obtuse and reflex angles
27
Draw and measure angles to the nearest degree
28
Identify angles at a point, in a turn and on a straight line
29
Describe and represent the result of a reflection or translation
30
Complete, read and interpret information in tables, including timetables
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 6 Maths Key Objectives
Taken from the National Curriculum
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Use negative numbers in context, and calculate intervals across zero
Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long
division, and interpret remainders as whole number remainders, fractions, or by rounding, as
appropriate for the context
Use their knowledge of the order of operations to carry out calculations involving the four operations
Use common factors to simplify fractions
Compare and order fractions, including fractions > 1
Add and subtract fractions with different denominators and mixed numbers, using the concept of
equivalent fractions
Multiply simple pairs of proper fractions, writing the answer in its simplest form
Divide proper fractions by whole numbers
Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a
simple fraction
Multiply one-digit number with up to two decimal places by whole numbers
Use written division methods in cases where the answer has up to two decimal places
Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of
360] and the use of percentages for comparison
Recall and use equivalences between simple fractions, decimals and percentages, including in different
contexts.
Solve problems involving the relative sizes of two quantities where missing values can be found by using
integer multiplication and division facts
Solve problems involving similar shapes where the scale factor is known or can be found
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
Use simple formulae
Generate and describe linear number sequences
Express missing number problems algebraically
Use, read, write and convert between standard units, converting measurements of length, mass, volume
and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to
three decimal places
Convert between miles and kilometres
Calculate the area of parallelograms and triangles
Calculate, estimate and compare volume of cubes and cuboids using standard units
Illustrate and name parts of circles, including radius, diameter and circumference and know that the
diameter is twice the radius
Find unknown angles in any triangles, quadrilaterals, and regular polygons
Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find
missing angles
Describe positions on the full coordinate grid (all four quadrants)
Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.
Interpret and construct pie charts and line graphs
Calculate and interpret the mean as an average
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
Year 6 Maths Key Objectives
Summarised form
1
Use negative numbers to calculate intervals across zero
2
Divide numbers using long division, interpreting the remainders as appropriate
3
Use order of operations to carry out calculations
4
Use common factors to simplify fractions
5
Compare and order fractions of any size
6
Add and subtract fractions with different denominators and mixed numbers
7
Multiply simple pairs of proper fractions
8
Divide proper fractions by whole numbers
9
Calculate decimal fraction equivalents for simple fractions
10
Multiply a number with up to two decimal places by whole numbers
11
Use written division with answers of up to two decimal places
12
Solve problems involving the calculation of percentages
13
Recall and use equivalences between fractions, decimals and percentages
14
Solve problems using ratio using multiplication and division facts
15
Solve problems involving similar shapes where the scale factor is known
16
Solve problems involving proportion, using knowledge of fractions and multiples
17
Use simple formulae
18
Generate and describe linear number sequences
19
Express missing number problems algebraically
20
Convert units of measure between smaller and larger units
21
Convert between miles and kilometres
22
Calculate the area of parallelograms and triangles
23
Calculate and compare volume of cubes and cuboids
24
Illustrate and name parts of a circle
25
Finding missing angles in triangles, quadrilaterals and regular polygons
26
Recognise vertically opposite angles and find missing angles
27
Describe positions on the full co-ordinate grid
28
Translate shapes on a co-ordinate grid and reflect in the axes
29
Construct and interpret pie charts
30
Calculate the mean as an average
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014
The objectives from the National Curriculum are used under Open Government Licence/
Summarised statements are provided under a Creative Commons Attribution-NonCommercial 3.0 Unported License.
Michael Tidd, 2014